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Mathematics Colloquium
2013 - 2014
Tuesday, October 29, 2013
4:00 p.m.  //  151 Sloan
Manjul Bhargava (Princeton University)

Rational points on elliptic and hyperelliptic curves

Abstract: Given a random elliptic or hyperelliptic curve of genus g over Q, how many rational points do we expect the curve to have?  (Or, in more elementary terms: how often do we expect a random integer polynomial of degree n to take a square value?)  In this talk, we give an overview of recent conjectures and theorems giving some answers and partial answers tothis question.





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